E764 -- Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 ad quadratum reduci postulatur
(An easy resolution to a most difficult question, where this most general form vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 is required to be reduced to a square)
Euler considers quadratic forms axx + 2bxy + cyy, a little more general than his usual form.
Biquadratic forms didn't seem to take off, though.
Originally published in Memoires de l'academie des sciences de St.-Petersbourg 9, 1824, pp. 14-19
Opera Omnia: Series 1, Volume 5, pp. 71 - 76
- Reprinted in Commentat. arithm. 2, 1849, pp. 414-417 [E764a]
Return to the Euler Archive